Abstract: The average distance problem asks to find a good way to approximate a high-dimensional object, represented as a measure, by a one-dimensional object. We will discuss two variants of the ...

Add Yahoo as a preferred source to see more of our stories on Google. Two Physical Review A papers outline how anyons could exist in one dimension, and how cold-atom experiments might spot them.

Physicists have created a one-dimensional gas out of light. This has enabled them to test theoretical predictions about the transition into this exotic state of matter for the first time. The method ...

For the first time, researchers have shown that self-assembled phosphorus chains can host genuinely one-dimensional electron behavior. Using advanced imaging and spectroscopy techniques, they ...